But the Prime Minister remains unmoved by the New Zealand vote, saying she will not be changing her position against same-sex marriage.

"I doubt we’re going to end up agreeing," she told a marriage equality supporter at a community cabinet meeting in Melbourne on Wednesday night, adding Labor had allowed a conscience vote on the issue.

Meanwhile, Opposition Leader Tony Abbott reaffirmed the Coalition’s policy against same-sex marriage and MPs would not be allowed a conscience vote, AAP reported.